Quasi-duo Partial skew polynomial rings

• Published in: Algebra and Discrete Mathematics
• Date: 2011
• Main Authors: Cortes, W., Ferrero, M., Gobbi, L.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154868
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quasi-duo Partial skew polynomial rings / W. Cortes, M.Ferrero, L.Gobbi // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 53–63. — Бібліогр.: 8 назв. — англ.

In this paper we consider rings R with a partial action α of Z on R. We give necessary and sufficient conditions for partial skew polynomial rings and partial skew Laurent polynomial rings to be quasi-duo rings and in this case we describe the Jacobson radical. Moreover, we give some examples to sho...